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Finding the Fourth Proportional to 31,562.37, 47,406.60 and 19,737.18

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Solution

The fourth proportional to 31,562.37, 47,406.60 and 19,737.18 is: 29,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,562.37 : 47,406.60 = 19,737.18 : x
  2. Step 2: Convert to fraction form
    31,562.37/47,406.60 = 19,737.18/x
  3. Step 3: Cross multiply
    31,562.37x = 47,406.60 × 19,737.18
  4. Step 4: Simplify right side
    31,562.37x = 935,672,597.39
  5. Step 5: Solve for x
    x = 935,672,597.39/31,562.37
  6. Step 6: Final answer
    x = 29,645.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.